4 papers · 1 filter
Local Ocneanu rigidity for separable algebra objects
Tinhinane Amina Azzouz, Mainak Ghosh, Sebastien Palcoux
We establish local Ocneanu rigidity for separable algebra objects in Hom-finite monoidal categories C over an algebraically closed field k. A separability morphism contracts the fi…
Exchange relations and Frobenius subalgebras
Mainak Ghosh, Sebastien Palcoux
Bisch and Jones established a bijection between the intermediate subfactors of an irreducible subfactor and certain idempotents satisfying exchange relations. In this paper, we gen…
Frobenius subalgebra lattices in tensor categories
Mainak Ghosh, Sebastien Palcoux
This paper generalizes Watatani's finiteness theorem for intermediate subfactors to a wide class of monoidal categories. We characterize the sublattices of Frobenius subalgebra pos…
Positivstellensatz for C*-tensor categories
Kajal Das, Mainak Ghosh, Shamindra Ghosh
We explore semi-pre-C*-algebras in the context of rigid semisimple C*-tensor categories and using techniques from annular representations, we extend Ozawa's criterion for property…